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225324100 = 22522397967
BaseRepresentation
bin11010110111000…
…10110001000100
3120200222122120001
431123202301010
5430140332400
634205251044
75404136401
oct1533426104
9520878501
10225324100
1110620a371
1263563a84
13378b2b91
1421cd52a8
1514baca6a
hexd6e2c44

225324100 has 36 divisors (see below), whose sum is σ = 510217344. Its totient is φ = 86210080.

The previous prime is 225324091. The next prime is 225324119. The reversal of 225324100 is 1423522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46684 + ... + 51283.

It is an arithmetic number, because the mean of its divisors is an integer number (14172704).

Almost surely, 2225324100 is an apocalyptic number.

225324100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225324100 is an abundant number, since it is smaller than the sum of its proper divisors (284893244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225324100 is a wasteful number, since it uses less digits than its factorization.

225324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98004 (or 97997 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 225324100 is about 15010.7994457324. The cubic root of 225324100 is about 608.5120952515.

Adding to 225324100 its reverse (1423522), we get a palindrome (226747622).

The spelling of 225324100 in words is "two hundred twenty-five million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 97967 195934 391868 489835 979670 1959340 2253241 2449175 4506482 4898350 9012964 9796700 11266205 22532410 45064820 56331025 112662050 225324100